r^2+18r+27=-5

Solution for r^2+18r+27=-5 equation:

Simplifying
r2 + 18r + 27 = -5

Reorder the terms:
27 + 18r + r2 = -5

Solving
27 + 18r + r2 = -5

Solving for variable 'r'.

Reorder the terms:
27 + 5 + 18r + r2 = -5 + 5

Combine like terms: 27 + 5 = 32
32 + 18r + r2 = -5 + 5

Combine like terms: -5 + 5 = 0
32 + 18r + r2 = 0

Factor a trinomial.
(16 + r)(2 + r) = 0

Subproblem 1
Set the factor '(16 + r)' equal to zero and attempt to solve:

Simplifying
16 + r = 0

Solving
16 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -16 + r = 0 + -16

Combine like terms: 16 + -16 = 0
0 + r = 0 + -16
r = 0 + -16

Combine like terms: 0 + -16 = -16
r = -16

Simplifying
r = -16
Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

Solving
2 + r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + r = 0 + -2
r = 0 + -2

Combine like terms: 0 + -2 = -2
r = -2

Simplifying
r = -2
Solution
r = {-16, -2}